| FEEDBACK REALIZATION OF HAMILTONIAN SYSTEMS |
| |
| 作者姓名： | CHENGDaizhan XIZairong |
| |
| 作者单位： | Laboratory of Systems Science，Institute of Systems Science，Academy of Mathematics and Systems Science，Chinese Academy of Sciences，Beijing 100080，China |
| |
| 基金项目： | This research is supported partly by the National Natural Science Foundation of China(No.G59837270)and National 973 Project(No.G |
| |
| 摘 要： | 1 IntroductionIn the last few decades, symplectic geometry becomes a lbcus fOr multi-disciplines. Aspointed out in 1l: '"' cIassical mechanics, statistical mechanics, and quantum mechanics aretreated from the same perspective, that ofsylllplectic geornetry thus showing the unifying powerof the symp1ectic geometric approach." Particularly it becomes a new frame fOr Hamiltoniansystems2--5]. Symp1ectic a1gorithm, 6] etc., provides a numerical method fOr solving the relatedproblems.In contr…
|
| 关 键 词： | 哈密顿系统 反馈表示 辛群 辛流形 |
FEEDBACK REALIZATION OF HAMILTONIAN SYSTEMS |
| |
| CHENGDaizhan XIZairong.FEEDBACK REALIZATION OF HAMILTONIAN SYSTEMS[J].Journal of Systems Science and Complexity,2002,15(1):61-68. |
| |
| Authors: | CHENG Daizhan XI Zairong |
| |
| Abstract: | This paper investigates the relationship between state feedback and Hamiltonian realization. First, it is proved that a completely controllable linear system always has a state feedback state equation Hamiltonian realization. Necessary and sufficient conditions are obtained for it to have a Hamiltonian realization with natural output. Then some conditions for an affine nonlinear system to have a Hamiltonian realization are given. For generalized outputs, the conditions of the feedback, keeping Hamiltonian, are discussed. Finally, the admissible feedback controls for generalized Hamiltonian systems are considered. |
| |
| Keywords: | Hamiltonianrealization symplectic group symplectic manifold Poisson bracket generalized Hamiltonian systems |
| 本文献已被 CNKI 维普 等数据库收录！ |
